diff --git a/library/core/src/primitive_docs.rs b/library/core/src/primitive_docs.rs
index 7f35c7789e281..fe6ed7e0cf368 100644
--- a/library/core/src/primitive_docs.rs
+++ b/library/core/src/primitive_docs.rs
@@ -1130,8 +1130,8 @@ impl<T> (T,) {}
 /// A 16-bit floating point type (specifically, the "binary16" type defined in IEEE 754-2008).
 ///
 /// This type is very similar to [`prim@f32`] but has decreased precision because it uses half as many
-/// bits. Please see [the documentation for [`prim@f32`] or [Wikipedia on
-/// half-precision values][wikipedia] for more information.
+/// bits. Please see [the documentation for `f32`](prim@f32) or [Wikipedia on half-precision
+/// values][wikipedia] for more information.
 ///
 /// Note that most common platforms will not support `f16` in hardware without enabling extra target
 /// features, with the notable exception of Apple Silicon (also known as M1, M2, etc.) processors.
@@ -1296,14 +1296,12 @@ mod prim_f32 {}
 #[doc(alias = "double")]
 /// A 64-bit floating point type (specifically, the "binary64" type defined in IEEE 754-2008).
 ///
-/// This type is very similar to [`f32`], but has increased
-/// precision by using twice as many bits. Please see [the documentation for
-/// `f32`][`f32`] or [Wikipedia on double precision
+/// This type is very similar to [`prim@f32`], but has increased precision by using twice as many
+/// bits. Please see [the documentation for `f32`](prim@f32) or [Wikipedia on double-precision
 /// values][wikipedia] for more information.
 ///
 /// *[See also the `std::f64::consts` module](crate::f64::consts).*
 ///
-/// [`f32`]: prim@f32
 /// [wikipedia]: https://en.wikipedia.org/wiki/Double-precision_floating-point_format
 #[stable(feature = "rust1", since = "1.0.0")]
 mod prim_f64 {}
@@ -1313,12 +1311,12 @@ mod prim_f64 {}
 /// A 128-bit floating point type (specifically, the "binary128" type defined in IEEE 754-2008).
 ///
 /// This type is very similar to [`prim@f32`] and [`prim@f64`], but has increased precision by using twice
-/// as many bits as `f64`. Please see [the documentation for [`prim@f32`] or [Wikipedia on
+/// as many bits as `f64`. Please see [the documentation for `f32`](prim@f32) or [Wikipedia on
 /// quad-precision values][wikipedia] for more information.
 ///
 /// Note that no platforms have hardware support for `f128` without enabling target specific features,
 /// as for all instruction set architectures `f128` is considered an optional feature.
-/// Only Power ISA ("PowerPC") and RISCV specify it, and only certain microarchitectures
+/// Only Power ISA ("PowerPC") and RISC-V specify it, and only certain microarchitectures
 /// actually implement it. For x86-64 and AArch64, ISA support is not even specified,
 /// so it will always be a software implementation significantly slower than `f64`.
 ///